Abstract: | Conclusions
1. |
We have shown that classical laws of elasticity and inelasticity reflect the variation in the reactive forces (the frictional
forces between rigid components of an element of the medium) in Newton's law of motion as a function of the growth in the
strain and the strain rate. Therefore, the defining relations do not include the second derivative of the displacement or
the strain with respect to the timet.
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2. |
Inequality of the loading forces and the reactive forces on the samples in the experiments leads to dynamic phenomena, corresponding
to uncontrollable additional contributions to the stress-strain and strain-time curves.
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3. |
With mild loading conditions of a thick-walled tube made of material that is incompressible and has a descending branch, abrupt
cumulative increase in the displacements, velocities, and accelerations is observed, even with proportional loading at low
rates.
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Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk. Translated from Fiziko-Tekhnicheskie Problemy
Razrabotki Poleznykh Iskopaemykh, No. 5, pp. 34–49, September–October, 1998. |